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Question

Mathematics Question on Relations and functions

The total number of functions, f:1,2,3,41,2,3,4,5,6f :\\{1,2,3,4\\} \rightarrow\\{1,2,3,4,5,6\\} such that f(1)+f(2)=f(3)f (1)+ f (2)= f (3), is equal to :

A

60

B

90

C

108

D

126

Answer

90

Explanation

Solution

The correct option therefore is (B): 90